Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity

TL;DR

This paper explores how quantum gravity, modeled via the generalized uncertainty principle, affects the properties of weakly interacting Bose gases, revealing modifications in condensate fluctuations, thermodynamics, and superfluidity.

Contribution

It introduces a theoretical framework incorporating quantum gravity effects into Bose gases and derives formulas for key physical quantities under these conditions.

Findings

Quantum gravity modifies condensate fluctuations and thermodynamic properties.

Quantum gravity effects can lift condensate and superfluid fractions.

Minimal length from quantum gravity leads to ultradilute Bose condensates.

Abstract

We investigate quantum gravity corrections due to the generalized uncertainty principle on three-dimensional weakly interacting Bose gases at both zero and finite temperatures using the time-dependent Hatree-Fock-Bogoliubov theory. We derive useful formulas for the depletion, the anomalous density and some thermodynamic quantities such as the chemical potential, the ground-state energy, the free energy, and the superfluid density. It is found that the presence of a minimal length leads to modify the fluctuations of the condensate and its thermodynamic properties in the weak and strong quantum gravitational regimes. Unexpectedly, the interplay of quantum gravity effects and quantum fluctuations stemming from interactions may lift both the condensate and the superfluid fractions. We show that quantum gravity minimizes the interaction force between bosons leading to the formation of ultradilute Bose condensates. Our results which can be readily probed in current experiments may offer a new attractive possibility to understand gravity in the framework of quantum mechanics.